114038400 has 192 divisors, whose sum is σ = 429526080. Its totient is φ = 26050560.

The previous prime is 114038381. The next prime is 114038401. The reversal of 114038400 is 4830411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (114038401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66352 + ... + 68048.

It is an arithmetic number, because the mean of its divisors is an integer number (2237115).

Almost surely, 2^114038400 is an apocalyptic number.

114038400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214763040).

114038400 is an abundant number, since it is smaller than the sum of its proper divisors (315487680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114038400 is a wasteful number, since it uses less digits than its factorization.

114038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 114038400 is about 10678.8763453839. The cubic root of 114038400 is about 484.9351952241.

Adding to 114038400 its reverse (4830411), we get a palindrome (118868811).

The spelling of 114038400 in words is "one hundred fourteen million, thirty-eight thousand, four hundred".